Answer: The present value of the Machine B ($16140) is less than that of Machine A ($16338) , so we should purchase Machine B.
Step-by-step explanation:
Present value of the cost incurred on Machine A :
Given:
Initial capital cost = $12500
Capital cost at 6th year ($12500 - salvage of previous machine $10000) = $2500
Present value of capital cost at (10%,5) = $1553
Maintenance cost = $1000
Present value of Maintenance cost at (10%,10) = $6145
Less: Salvage at the end of Year 10 = $10000
Present value of Salvage cost at (10%,10) = $3860
Total present value of cost in Machine A = $16338
Similarly,
Present value of the cost incurred on Machine B :
Given:
Initial capital cost = $20000
Maintenance cost = $0
Present value of Maintenance cost at (10%,10) = $0
Less: Salvage at the end of Year 10 = $10000
Present value of Salvage cost at (10%,10) = $3860
Total present value of cost in Machine B = $16140
As the present value of the Machine B ($16140) is less than that of Machine A ($16338) , so we should purchase Machine B.